A light bulb consumes 6480 watt-hours in 4 days and 12 hours. How many watt-hours does it consume per day?
2 answers:
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Answer:
For maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.
Step-by-step explanation:
Let the length of the rectangular exercise run = l ft
and width of the run = w ft
Sinoman has to cover a rectangular exercise run from three sides with the fencing material,
So length of the material = (l + 2w) ft
l + 2w = 100
l = 100 - 2w --------(1)
Area of the rectangular area covered = Length × width
A = lw
A = w(100 - 2w) [(l = 100 - 2w)from equation (1)
For maximum area we find the derivative of area and equate it to zero.
A' = 100 - 4w
For A' = 0
100 - 4w = 0
4w = 100
w = 25 ft
From equation (1)
l = 100 - 2w
l = 100 - 2×(25)
l = 50 ft
Therefore, for maximum area of the rectangular exercise run dimensions will be 50ft by 25ft.
Answer:
We conclude that average reflectometer reading for a new type of paint is greater than 20
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 20
Sample size, n = 13
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
Formula:
Degree of freedom = n - 1 = 13 - 1 = 12
Now, we calculate the p-value with the help of standard table.
P-value = 0.004
Since, the p-value is less than the significance level, we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support that average reflectometer reading for a new type of paint is greater than 20